The Twisted Heisenberg Algebra ${\cal U}_{h,w}({\cal H}(4))$

Details The Twisted Heisenberg Algebra ${\cal U}_{h,w}({\cal H}(4))$ The Twisted Heisenberg Algebra ${\cal U}_{h,w}({\cal H}(4))$

1996-10-16

arxiv.org/abs/q-alg/9610021v2

Mathematics

Quantum Algebra

21 pages, latex, no figures, Somes comments and references has been added, version to be published in Journal of Mathematical

Scientific paper

10.1063/1.532201

A two parametric deformation of the enveloping Heisenberg algebra ${\cal H}(4)$ which appear as a combination of the standard and a nonstandard quantization given by Ballesteros and Herranz is defined and proved to be Ribbon Hopf algebra. The universal ${\cal R}$-matrix and its associated quantum group are constructed. New solution of Braid group are obtained. The contribution of these parameters in invariants of links and WZW model are analyzed. General results for twisted Ribbon Hopf algebra are derived.

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